Practical stability of nonlinear differential equation with initial time difference

Abstract: This paper develops the concept of practical stability to nonlinear differential equations with solutions starting with different initial times. Several practical stability criteria of nonlinear dynamical systems relative to initial time difference are presented by employing two Lyapunov-like functions. The method of two Lyapunov-like functions enables us to obtain results under weaker assumptions. [Copyright &y& Elsevier]